March 28, 2017

Post a New Question

Posted by on .

a bootlenose dolphin jumps out of the water. the path the dolphin travels can be modeled by h=-0.2d^2+2d, where h represents the height of the dolphin in feet and d represents the horizontal distance.

What is the maximum height the dolphin can jump?

  • math - ,

    Assuming this is a calculus question and not a graphical one, you need to solve a simple differential equation in d:

    h = 2d - (d^2)/5, so
    dh/dd = 2 - 2d/5 = 0 at the maximum, so d=5. But at d=5, h= 2*5 - (5^2)/5 = 10 - 5 = 5. So the maximum height is 5 feet. Not very high, is it? Do check it and see if you agree.

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question